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Mathematics
Mathematics
Problem
The upper branch of the circle
x
2
+
y
2
=
10
x^{2}+y^{2}=10
x
2
+
y
2
=
10
can be written as
y
=
f
(
x
)
y=f(x)
y
=
f
(
x
)
for
−
10
<
x
<
10
-\sqrt{10}<x<\sqrt{10}
−
10
<
x
<
10
. On which interval is
f
f
f
increasing? a)
(
0
,
10
)
(0,\sqrt{10})
(
0
,
10
)
b)
(
−
10
,
0
)
(-\sqrt{10},0)
(
−
10
,
0
)
c)
(
−
10
,
10
)
(-\sqrt{10},\sqrt{10})
(
−
10
,
10
)
d)
(
−
∞
,
0
)
(-\infty,0)
(
−
∞
,
0
)
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